Question

if one of the zero of the cubic polynomial ax cube + b x square + cx + d is zero the product of the then other two 0 is

Answer 1

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Answer 2

$Let \: \alpha , \:\beta \: and \: \gamma \: are \\</p><p>zeroes \: of \: a\: cubic \: polynomial \\</p><p>ax^{3} + bx^{2} + cx + d$

$\alpha = 0\: (given )\: --(1)$

$\alpha \beta + \beta \gamma + \gamma \alpha = \frac{c}{a}$

$\implies 0 + \beta \gamma + 0 = \frac{c}{a}\: [From \: (1)]$

$\implies \beta \gamma = \frac{c}{a}$

$\implies Product \:other \:two \: zeroes ( \beta \gamma ) \\= \frac{c}{a}$

Therefore.,

$\red { Product \: other \:two \: zeroes } \green {= \frac{c}{a}}$

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